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Finding the Fourth Proportional to 9,037.85, 13,532.31 and 6,394.49

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Solution

The fourth proportional to 9,037.85, 13,532.31 and 6,394.49 is: 9,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.85 : 13,532.31 = 6,394.49 : x
  2. Step 2: Convert to fraction form
    9,037.85/13,532.31 = 6,394.49/x
  3. Step 3: Cross multiply
    9,037.85x = 13,532.31 × 6,394.49
  4. Step 4: Simplify right side
    9,037.85x = 86,532,153.31
  5. Step 5: Solve for x
    x = 86,532,153.31/9,037.85
  6. Step 6: Final answer
    x = 9,574.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.